Search a number
-
+
376854390 = 233511223569
BaseRepresentation
bin10110011101100…
…101011101110110
3222021010012001000
4112131211131312
51232433320030
6101221144130
712224131563
oct2635453566
9867105030
10376854390
111837a7310
12a625b046
13600c9483
143809b86a
1523140860
hex16765776

376854390 has 128 divisors (see below), whose sum is σ = 1103155200. Its totient is φ = 90789120.

The previous prime is 376854389. The next prime is 376854407. The reversal of 376854390 is 93458673.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 662026 + ... + 662594.

It is an arithmetic number, because the mean of its divisors is an integer number (8618400).

Almost surely, 2376854390 is an apocalyptic number.

376854390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 376854390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551577600).

376854390 is an abundant number, since it is smaller than the sum of its proper divisors (726300810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

376854390 is a wasteful number, since it uses less digits than its factorization.

376854390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 376854390 is about 19412.7378285496. The cubic root of 376854390 is about 722.3114948249.

The spelling of 376854390 in words is "three hundred seventy-six million, eight hundred fifty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 223 270 297 330 446 495 569 594 669 990 1115 1138 1338 1485 1707 2007 2230 2453 2845 2970 3345 3414 4014 4906 5121 5690 6021 6259 6690 7359 8535 10035 10242 12042 12265 12518 14718 15363 17070 18777 20070 22077 24530 25605 30105 30726 31295 36795 37554 44154 51210 56331 60210 62590 66231 73590 76815 93885 110385 112662 126887 132462 153630 168993 187770 220770 253774 281655 331155 337986 380661 563310 634435 662310 761322 844965 1141983 1268870 1395757 1689930 1903305 2283966 2791514 3425949 3806610 4187271 5709915 6851898 6978785 8374542 11419830 12561813 13957570 17129745 20936355 25123626 34259490 37685439 41872710 62809065 75370878 125618130 188427195 376854390